The Gibbons-Hawking ansatz over a wedge

Martin de Borbon

doi:10.1016/j.geomphys.2017.06.002

The Gibbons-Hawking ansatz over a wedge

Differential Geometry 2017-08-23 v1

Authors: Martin de Borbon

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Abstract

We discuss the Ricci-flat `model metrics' on $\mathbb{C}^2$ with cone singularities along the conic $\{zw=1\}$ constructed by Donaldson using the Gibbons-Hawking ansatz over wedges in $\mathbb{R}^3$ . In particular we describe their asymptotic behavior at infinity and compute their energies.

Keywords

Gibbons-Hawking ansatz Ricci-flat metrics cone singularities wedge asymptotic behavior energy

Cite

@article{arxiv.1701.06471,
  title  = {The Gibbons-Hawking ansatz over a wedge},
  author = {Martin de Borbon},
  journal= {arXiv preprint arXiv:1701.06471},
  year   = {2017}
}

Comments

15 pages, 1 figure

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